2-D 9/7 Basis Functions

The 2-D 9/7 biorthogonal system used in our project comes from the 1-D prototypes by simple extension of the 1-D filters into 2-D using a seprable consturction. The Figure below shows the 1-D basis functions for the 9/7 system which were obtained by factorization of the max-flat (Daubechies) polynomial.

The Figures below show the 2-D Analysis and Synthesis Basis Functions for the 9/7 system. Note how using separable filters gives symmetry in horizontal & vertical directions only.

 

Analysis Basis Functions

 
 

 Synthesis Basis Functions